Question

A triangle has side lengths of 12cm, 35cm, and 37cm. classify it as acute,obtuse, or right

Answer 1

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:

1) Square all 3 sides.

2) Sum the squares of the 2 shortest sides.

3) Compare this sum to the square of the 3rd side.

if sum > 3rd side²   Acute Triangle

if sum = 3rd side²   Right Triangle

if sum < 3rd side²   Obtuse Triangle

1) 144

1,225

1,369

144 + 1,225 = 1,369

Therefore, it is a right triangle.

Source:

http://www.1728.org/triantest.htm